105233253400 has 96 divisors (see below), whose sum is σ = 269553037680. Its totient is φ = 37887680000.

The previous prime is 105233253379. The next prime is 105233253401. The reversal of 105233253400 is 4352332501.

It is a super-2 number, since 2×105233253400² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105233253401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14599 + ... + 458998.

Almost surely, 2^105233253400 is an apocalyptic number.

105233253400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105233253400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134776518840).

105233253400 is an abundant number, since it is smaller than the sum of its proper divisors (164319784280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105233253400 is a wasteful number, since it uses less digits than its factorization.

105233253400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473725 (or 473716 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 28.

Adding to 105233253400 its reverse (4352332501), we get a palindrome (109585585901).

The spelling of 105233253400 in words is "one hundred five billion, two hundred thirty-three million, two hundred fifty-three thousand, four hundred".